10021000102101 has 12 divisors (see below), whose sum is σ = 14690819387712. Its totient is φ = 6580955290536.

The previous prime is 10021000102051. The next prime is 10021000102103. The reversal of 10021000102101 is 10120100012001.

It is a happy number.

It is not a de Polignac number, because 10021000102101 - 2⁶ = 10021000102037 is a prime.

It is a super-3 number, since 3×10021000102101³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021000102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8309286381 + ... + 8309287586.

It is an arithmetic number, because the mean of its divisors is an integer number (1224234948976).

Almost surely, 2^{10021000102101} is an apocalyptic number.

It is an amenable number.

10021000102101 is a deficient number, since it is larger than the sum of its proper divisors (4669819285611).

10021000102101 is a wasteful number, since it uses less digits than its factorization.

10021000102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16618574040 (or 16618574037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10021000102101 its reverse (10120100012001), we get a palindrome (20141100114102).

The spelling of 10021000102101 in words is "ten trillion, twenty-one billion, one hundred two thousand, one hundred one".